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Rota’s Basis Conjecture for Paving Matroids

✍ Scribed by Geelen, Jim; Humphries, Peter J.

Book ID
118196938
Publisher
Society for Industrial and Applied Mathematics
Year
2006
Tongue
English
Weight
110 KB
Volume
20
Category
Article
ISSN
0895-4801

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We give a counterexample to a conjecture by Wild about binary matroids. We connect two equivalent lines of research in matroid theory: a simple type of basis-exchange property and restrictions on the cardinalities of intersections of circuits and cocircuits. Finally, we characterize direct sums of s